Simplify each product. 5. –3c(8 + 2c – c^3)
*
3c^2 - 5c^2 + 24c
3c^4 -6c^2 -24c
3c^3 + 6c^2 + 24c
24c^2 -6c^2 -9c
+ 3c^4
To simplify the product –3c(8 + 2c – c^3), we need to apply the distributive property. We multiply –3c by each term inside the parentheses:
-3c(8 + 2c – c^3) = -3c(8) + -3c(2c) + -3c(-c^3)
Applying multiplication:
-24c + -6c^2 + 3c^4
So, the simplified product is 3c^4 -6c^2 -24c.